A soap bubble 'A' of radius 0.03 m and another bubble 'B' of radius 0.04 m are brought together so that the combined bubble has a common interface of radius r, then the value of r is :

Options

A. 0.06 m
B. 0.012 m
C. 0.12 m
D. 0.035 m

Answer

C

Explanation

Here `P_(a)=(4T)/(0.03),P_(b)=(4T)/(0.05)` As `P_(a)gtP_(b)`, the interface between A and B is convex.
`(4T)/(0.03)-(4T)/(0.04)=(4T)/r` or r=0.12 m
`therefore` Correct choice is (c).